Graphs of linear equation
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This document discusses how to graph linear equations on a coordinate plane using different methods: 1) Using two points from the linear equation to plot and connect those points 2) Using the x-intercept and y-intercept, which are the points where the line crosses the x- and y-axes 3) Using the slope of the line and the y-intercept, where the slope is rise over run and the y-intercept is where the line crosses the y-axis 4) Using the slope of the line and one point from the linear equation Real-world examples of linear equations include stock market trends and car payment plans.
Graphs of linear equation
- 1. GRAPHS OF LINEAR EQUATION
- 2. WHAT IS A LINEAR EQUATION? A linear equation is an equation whose graph forms a straight line. Linear equations are usually shown on a coordinate plane Real life situations of linear equations include the stock market as well as the payments of a car.
- 3. PARTS OF A COORDINATE PLANE Origin Y-Axis X-Axis QUADRANT II (-x, y) QUADRANT I (x, y) QUADRANT III (-x, -y) QUADRANT IV (x, -y)
- 4. METHODS IN GRAPHING A LINEAR EQUATION Using two points Using x- and –y intercepts Using the slope and –y intercepts Using the slope and a point
- 5. USING TWO POINTS Example: Graph the function: y = 2x+1 X 0 1 Y 1 3 Substitution: y =2x+1 y= 2(0)+1 y= 1 y=2x+1 y=2(1)+1 y=3
- 6. 4 (1,3) 3 2 (0,1) 1 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4
- 7. GRAPH THIS: 1. (3,4) and (1,2) 2. (0,5) and (6,1) 3. (-2, 5/2) and ( ½ , ¾)
- 8. USING X-INTERCEPT AND Y- INTERCEPT A linear equation can be graphed by using x-intercept a and y-intercept b. (a,0) and (0,b) are enough to graph linear equation. X-intercept- the abscissa Y-intercept- the ordinate b a
- 9. EXAMPLE: y = 3x+2 X 0 -2/3 Y 2 0 Tip: Using this method, you need to solve for x- intercept by letting y=0 and y-intercept by letting x=0 1 2 3 - 1 - 2 - 3 1 2 3 3 2 1
- 10. USING SLOPE AND Y-INTERCEPT In using this method, you need to identify the slope and the y- intercept of the linear equation. In equation y = 6x+2 m= 6 rise= 6 run= 1 y= 2
- 11. TRY THIS: m= 2/4 and b= 2 m= 1 and b= 3 y= ¾ x +3 y= ½x + 1
- 12. USING SLOPE AND ONE POINT To find a point from any equation, assign any value for x in the given equation. Example: In equation y= 2x+1 slope: 2 ordered pair: (-1,-1) Let x= -1 y = -1
- 13. TRY THIS m=3 and (0,-5) m = -3 and (2,4) m= 2/3 and (-2,5)